Question 1 (25 marks) The response time in milliseconds was determined by three different types of circuits that could be used in an automatic valve shutoff mechanism. The results are shown below. Circuit Response time type 1 9 12 10 8 15 2 20 21 23 17 30 6 5 16 7 a) Construct the ANOVA table. (5 marks) b) Test the hypothesis that the three circuit types have the same response time. Use a = 0.05. (5 marks) c) Test all pairs of means using the Tukey's method with a = 0.05. (5 marks) d) Calculate the residual. (5 marks) e) Plot the graph of residuals versus circuit types. Give your comment on equal variance assumption.